Center conditions for polynomial Liénard systems

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Issue date
2017Suggested citation
Giné, Jaume;
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(2017)
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Center conditions for polynomial Liénard systems.
Qualitative Theory Of Dynamical Systems, 2017, vol. 16, p. 119-126.
https://doi.org/10.1007/s12346-016-0202-3.
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In this paper we study the center problem for polynomial Liénard systems of degree n with damping of degree n. Computing the focal values we find the center conditions for such systems for n=5 and using modular arithmetics and Gröbner bases for n=6. We also give some center conditions for polynomial Liénard systems of degree n with damping of degree n.